查询词典 solution domain

Based on the domain superposition method and the differential cubature method as well as the Levy s general solution technique, a new semi-analytical solution has been developed in this paper, for free vibration analysis of moderately thick plates with abrupt thickness.

采用Mindlin中厚板理论，基于Levy解法和微分容积法，给出一种求解轴向受压的阶梯式变厚度板的自由振动问题的半解析解，板的边界条件为两对边简支、另两边任意。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

Based on the Betti-Rayleigh dynamic reciprocal theorem, the reciprocal property of the Green function is demonstrated; and the analytical solution of soil vibration subjected to moving loads is deduced. By means of double Fourier integral transform, the problem is firstly transformed into wave number-frequency domain, which makes it very convenient to derive the solution and furthermore to analyze the frequency characteristics of soil vibration.

基于Betti-Rayleigh动力互易定理，论证了地基土Green函数的互易性，推导了移动荷载引起的地基土振动解析解，进而推证出移动常力荷载和移动简谐荷载作用下地基于表面振动在波数－频率域内和空间－时间域内的解析表达式，并采用Matlab对其进行数值计算。

If the solution in the wave number-frequency domain is inversely integral transformed, the integral solution in symmetry axial coordinate is obtained.

对波数频域中的解答进行积分反变换，即求得原轴对称坐标下的积分形式解。

The numerical solution would be a good approximation of the original solution restricted in the computational domain.

这样我们可以将原无界区域上的定解问题约化为定义在有界计算区域上的边值问题。

For the soil-pile-structure systems,an exact solution in time domain is developed to examine the validity of this approximate solution.

对于土-桩-结构系统，本文提出一种时域中的精确解法来考察这种近似解法的有效性。

The main goal of the thesis is to study such some problems as theexistence of weak solutions of quasilinear elliptic equations involvingcritical Sobolev exponents on a bounded domain and〓,the unique-ness of weak solutions、regularity of weak solutions、stability ofweak solution on exponent p、continuity of very weak solutions ondomains、the fusion problem of weak solutions and the existenceof minimal positive solution of a class of quasilinear elliptic obstacleproblems,which have been extensively concerned,but have not beensolved satisfactorily in the latest several years.

本文主要对近年来人们普遍关注而又没有完全解决的几个问题——有界域及无界域上带临界增长的拟线性椭圆方程弱解的存在性，弱解、很弱解的唯一性、正则性，解关于区域的连续依赖性，解关于指数的稳定性，弱解、很弱解的合并问题，以及椭圆型偏微分方程对应的障碍问题极小正解的存在性等进行研究。

Because there are no horizontal fluid restoring forces in ship motion, the responses such as sway and yaw in time domain will not converge to a stable state. How to overcome the diverse solution is a critical factor in the nonlinear ship motion solution in oblique seas.

本文提出的新方法可以保证获得斜浪中船舶非线性运动的稳定的周期解，从而进一步完善了斜浪中船舶非线性运动预报和波浪载荷计算的工程实用方法。

King-used washing machines Lower absorption law, the use of detergent added to the aqueous solution is in use at the same time fume emission will usually automatically with the aqueous solution of emulsifying oil mist and saponification reaction also been placed material washing down fuel from combustion of hazardous substances and cooking process generated fumes from aqueous solution by the majority and purification.

水帘式净油烟机采用洗涤吸收法，利用添加有洗涤剂的水溶液，在吸排油烟的同时自动将雾化的水溶液与油雾发生乳化和皂化反应，烟尘也同时被润湿洗涤下来，燃料燃烧时产生的有害物质及烹饪过程中产生的油烟绝大部分被水溶液中和净化。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。